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Puiseux parametric equations of analytic sets
Author(s):
Fuensanta
Aroca
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3035-3045.
MSC (2000):
Primary 32S05, 32B10;
Secondary 14M25
Posted:
June 2, 2004
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Abstract:
We prove the existence of local Puiseux-type parameterizations of complex analytic sets via Laurent series convergent on wedges. We describe the wedges in terms of the Newton polyhedron of a function vanishing on the discriminant locus of a projection. The existence of a local parameterization of quasi-ordinary singularities of complex analytic sets of any codimension will come as a consequence of our main result.
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Additional Information:
Fuensanta
Aroca
Affiliation:
Instituto de Matematicas UNAM (Unidad Cuernavaca), Apartado Postal 273-3, Administración de Correos 3, CP 62251, Cuernavaca, Morelos, Mexico
Address at time of publication:
Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970 São Carlos SP, Brazil
Email:
fuen@matcuer.unam.mx, fuen@icmc.usp.br
DOI:
10.1090/S0002-9939-04-07337-X
PII:
S 0002-9939(04)07337-X
Keywords:
Parameterization,
wedges,
quasi-ordinary singularities
Received by editor(s):
February 6, 2002
Received by editor(s) in revised form:
May 19, 2003
Posted:
June 2, 2004
Additional Notes:
The author was supported first by Post-doctoral Grant of TMR Project Singularidades de Ecuaciones Diferenciales y Foliaciones at the University of Lisbon, and then by UNAM at Instituto de Matemáticas-Cuernavaca (Mexico)
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2004,
American Mathematical Society
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